To solve the equation [tex]\( 4x = 16 \)[/tex], you need to isolate the variable [tex]\( x \)[/tex] on one side of the equation. Here's a detailed, step-by-step explanation of how to do that:
1. The given equation is [tex]\( 4x = 16 \)[/tex].
2. To isolate [tex]\( x \)[/tex], you need to get rid of the coefficient 4 that is multiplied by [tex]\( x \)[/tex].
3. The appropriate action here would be to divide both sides of the equation by 4. This action will help you isolate [tex]\( x \)[/tex] on one side.
4. The division of both sides of the equation by the same number is justified by the Division Property of Equality. This property states that both sides of an equation remain equal when both sides are divided by the same non-zero number.
Using these steps:
- Action: Divide both sides by 4.
- Property: Division property of equality.
Therefore, the correct selections are:
B. Action: Divide both sides by 4.
F. Property: Division property of equality.
